Re:Hyperbaric oxygen therapy reverses hallmarks of Alzheimer...
by tgv on Monday September 13, 2021 @12:56PM
(#28513777)
You're right about the paired test (although I think there's an issue with the group variance). But your final calculation is for a sign test. For a t-test where every point shifts a very little bit (e.g. 0.01 stddev), p is larger, I think.
Re:Hyperbaric oxygen therapy reverses hallmarks of Alzheimer...
by hervature on Monday September 13, 2021 @02:22PM
(#28514868)
Yes, my edit was more meant to illustrate how 6 data points can yield a significant result. Paired t-test is all about the differences. So if all test subjects shift up by 0.01 (no variance in the differences) then the statistic will actually be infinite (i.e. very large) and so p is theoretically 0 (very small). I also agree that the paired testing needs more convincing from the researchers.
Edit: One way to think about this is assuming the effects are random and symmetric then the probability of going up is 1/2. If all 6 participants had increased scores, then the p-value is at least 1/2^6 and this is not taking into account the magnitude of the shift.